Leases - Schedule of Undiscounted Cash Flows Used in Calculating the Operating Lease Liabilities and Amounts to be Received under the Sublease (Details) $ in Thousands	Sep. 30, 2022 USD ($)
Leases [Abstract]
Operating Lease Payments, 2022 (remainder of the year)	$ 1,573
Operating Lease Payments, 2023	6,436
Operating Lease Payments, 2024	6,625
Operating Lease Payments, 2025	6,820
Operating Lease Payments, 2026	7,020
Operating Lease Payments, Thereafter	21,779
Operating Lease Payments, Total undiscounted cash flows	50,253
Operating Lease Payments, Less: Amounts representing interest	(14,669)
Operating Lease Payments, Present value of lease liabilities	35,584
Sublease Receipts, 2022 (remainder of the year)	250
Sublease Receipts, 2023	1,024
Sublease Receipts, 2024	965
Sublease Receipts, Total undiscounted cash flows	2,239
Net Operating Lease Payments, 2022 (remainder of the year)	1,323
Net Operating Lease Payments, 2023	5,412
Net Operating Lease Payments, 2024	5,660
Net Operating Lease Payments, 2025	6,820
Net Operating Lease Payments, 2026	7,020
Net Operating Lease Payments, Thereafter	21,779
Net Operating Lease Payments, Total undiscounted cash flows	$ 48,014

Lessee net operating lease liability payments due.

No definition available.

Name:	cdak_LesseeNetOperatingLeaseLiabilityPaymentsDue
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Lessee net operating lease liability payments due after year four.

+ References

No definition available.

+ Details

Name:	cdak_LesseeNetOperatingLeaseLiabilityPaymentsDueAfterYearFour
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Lessee net operating lease liability payments due next twelve months.

+ References

No definition available.

+ Details

Name:	cdak_LesseeNetOperatingLeaseLiabilityPaymentsDueNextTwelveMonths
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Lessee net operating lease liability payments due year four.

+ References

No definition available.

+ Details

Name:	cdak_LesseeNetOperatingLeaseLiabilityPaymentsDueYearFour
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Lessee net operating lease liability payments due year three.

+ References

No definition available.

+ Details

Name:	cdak_LesseeNetOperatingLeaseLiabilityPaymentsDueYearThree
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Lessee net operating lease liability payments due year two.

+ References

No definition available.

+ Details

Name:	cdak_LesseeNetOperatingLeaseLiabilityPaymentsDueYearTwo
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Lessee net operating lease liability payments remainder of fiscal year.

+ References

No definition available.

+ Details

Name:	cdak_LesseeNetOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Lessee operating lease liability payments due after year four.

+ References

No definition available.

+ Details

Name:	cdak_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Lessee operating sublease payments to be received.

+ References

No definition available.

+ Details

Name:	cdak_LesseeOperatingSubleasePaymentsToBeReceived
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Lessee operating sublease payments to be received next twelve months.

+ References

No definition available.

+ Details

Name:	cdak_LesseeOperatingSubleasePaymentsToBeReceivedNextTwelveMonths
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Lessee operating sublease payments to be received remainder of fiscal year.

+ References

No definition available.

+ Details

Name:	cdak_LesseeOperatingSubleasePaymentsToBeReceivedRemainderOfFiscalYear
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Lessee operating sublease payments to be received two years.

+ References

No definition available.

+ Details

Name:	cdak_LesseeOperatingSubleasePaymentsToBeReceivedTwoYears
Namespace Prefix:	cdak_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- References

No definition available.

+ Details

Name:	us-gaap_LeasesAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of lessee's undiscounted obligation for lease payment for operating lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 50
-Paragraph 6
-URI https://asc.fasb.org/extlink&oid=128292326&loc=SL77918701-209980

+ Details

Name:	us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of lessee's undiscounted obligation for lease payment for operating lease to be paid in next fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

+ References

+ Details

Name:	us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of lessee's undiscounted obligation for lease payment for operating lease to be paid in fourth fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

+ References

+ Details

Name:	us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of lessee's undiscounted obligation for lease payment for operating lease to be paid in third fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

+ References

+ Details

Name:	us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of lessee's undiscounted obligation for lease payment for operating lease to be paid in second fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

+ References

+ Details

Name:	us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of lessee's undiscounted obligation for lease payment for operating lease having initial or remaining lease term in excess of one year to be paid in remainder of current fiscal year.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 50
-Paragraph 6
-URI https://asc.fasb.org/extlink&oid=128292326&loc=SL77918701-209980

+ Details

Name:	us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of lessee's undiscounted obligation for lease payments in excess of discounted obligation for lease payments for operating lease.

+ References

+ Details

Name:	us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Present value of lessee's discounted obligation for lease payments from operating lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 45
-Paragraph 1
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=123391704&loc=SL77918627-209977

+ Details

Name:	us-gaap_OperatingLeaseLiability
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant