Cover Page - USD ($) $ in Thousands	11 Months Ended
	Dec. 31, 2021	Apr. 15, 2022
Document Information [Line Items]
Document Type	10-K
Amendment Flag	false
Document Period End Date	Dec. 31, 2021
Document Fiscal Year Focus	2021
Document Fiscal Period Focus	FY
Document Annual Report	true
Document Transition Report	false
Entity Registrant Name	Alpha Healthcare Acquisition Corp. III
Entity Central Index Key	0001842939
Entity File Number	001-40228
Entity Interactive Data Current	Yes
Entity Current Reporting Status	Yes
Entity Incorporation, State or Country Code	DE
Entity Address, Address Line One	1177 Avenue of the Americas
Entity Address, Address Line Two	5th Floor
Entity Address, City or Town	New York
Entity Address, Postal Zip Code	10036
City Area Code	646
Local Phone Number	494-3296
Entity Filer Category	Non-accelerated Filer
Entity Small Business	true
Entity Emerging Growth Company	true
Entity Ex Transition Period	false
Entity Shell Company	true
Title of 12(b) Security	Class A Common Stock, par value $0.0001 per share
Trading Symbol	ALPA
Security Exchange Name	NASDAQ
Entity Address, State or Province	NY
Current Fiscal Year End Date	--12-31
Entity Tax Identification Number	85-1645738
Entity Well-known Seasoned Issuer	No
Entity Voluntary Filers	No
Entity Public Float	$ 157,170
ICFR Auditor Attestation Flag	false
Auditor Name	Marcum LLP
Auditor Firm ID	688
Auditor Location	Houston, TX
Units, each consisting of one share of Class A Common Stock and one-fourth of one Redeemable Warrant [Member]
Document Information [Line Items]
Title of 12(b) Security	Units, each consisting of one share of Class A Common Stock and one-fourth of one Redeemable Warrant
Trading Symbol	ALPAU
Security Exchange Name	NASDAQ
Redeemable Warrants, each whole warrant exercisable for one share of Class A Common Stock at an exercise price of $11.50 [Member]
Document Information [Line Items]
Title of 12(b) Security	Redeemable Warrants, each whole warrant exercisable for one share of Class A Common Stock at an exercise price of $11.50
Trading Symbol	ALPAW
Security Exchange Name	NASDAQ
Common Class A [Member]
Document Information [Line Items]
Entity Common Stock, Shares Outstanding		15,907,985
Common Class B [Member]
Document Information [Line Items]
Entity Common Stock, Shares Outstanding		3,861,026