Subsequent Events - Additional Information (Detail)						2 Months Ended	3 Months Ended						9 Months Ended		13 Months Ended
	Nov. 30, 2021 USD ($) shares	Nov. 04, 2021 USD ($) ft² Apartment	Nov. 01, 2021 $ / shares	Sep. 30, 2021 USD ($) shares	Dec. 31, 2020 USD ($) shares	Nov. 30, 2021 USD ($) RepurchaseRequest shares	Sep. 30, 2021 USD ($) shares	Jun. 30, 2021 USD ($) shares	Mar. 31, 2021 USD ($) shares	Sep. 30, 2020 USD ($) shares	Jun. 30, 2020 USD ($) shares	Mar. 31, 2020 USD ($) shares	Sep. 30, 2021 USD ($) shares	Sep. 30, 2020 USD ($) shares	Sep. 30, 2021 USD ($) $ / shares
Subsequent Event [Line Items]
Stock repurchased, shares							52,336			37,400			250,775	149,639
Stock repurchase | $							$ 1,283,665	$ 2,898,604	$ 1,884,438	$ 884,934	$ 2,022,211	$ 620,659	$ 6,066,706	$ 3,527,804
Equity investment				100.00%			100.00%						100.00%		100.00%
Lease term				5 years			5 years						5 years		5 years
Building and building improvements | $				$ 427,751,806	$ 140,185,153		$ 427,751,806						$ 427,751,806		$ 427,751,806
Common stock, shares				8,445,731	6,387,089
Distributions declared on an annual basis | $ / shares															$ 1.55
Class AX [Member]
Subsequent Event [Line Items]
Stock repurchased, shares							40,694	99,469	29,237	32,490	62,524	17,256
Stock repurchase | $							$ 407	$ 995	$ 292	$ 325	$ 625	$ 173
Common stock, shares				3,340,319	3,450,361					79,333	144,689	150,441
Class TX [Member]
Subsequent Event [Line Items]
Stock repurchased, shares							11,642	15,016	20,547	1,941	8,544	8,028
Stock repurchase | $							$ 116	$ 150	$ 206	$ 19	$ 85	$ 80
Common stock, shares				1,449,782	1,472,875					35,693	49,180	66,220
Class IX [Member]
Subsequent Event [Line Items]
Stock repurchased, shares								2,994	28,993	2,969	15,887
Stock repurchase | $								$ 30	$ 290	$ 30	$ 159
Common stock, shares				1,206,643	1,218,108					58,024	89,113	215,102
Class T [Member]
Subsequent Event [Line Items]
Common stock, shares				382,990	44,884		136,657	102,256	98,221	4,083
Class S [Member]
Subsequent Event [Line Items]
Common stock, shares				4,361	1,567		1	2,790
Class D [Member]
Subsequent Event [Line Items]
Stock repurchased, shares								2,183
Stock repurchase | $								$ 22
Common stock, shares				236,761	39,281		98,012	24,145	76,298
Class I [Member]
Subsequent Event [Line Items]
Common stock, shares				1,824,875	160,013		775,827	599,495	281,800	13,736
Subsequent Event [Member]
Subsequent Event [Line Items]
Common stock, shares	9,118,730
Net proceeds from sale of initial offering | $	$ 222,268,440
Distributions declared on an annual basis | $ / shares			$ 1.55
Subsequent Event [Member] | Class AX [Member]
Subsequent Event [Line Items]
Common stock, shares	3,334,267
Subsequent Event [Member] | Class TX [Member]
Subsequent Event [Line Items]
Common stock, shares	1,449,546
Subsequent Event [Member] | Class IX [Member]
Subsequent Event [Line Items]
Common stock, shares	1,211,154
Subsequent Event [Member] | Class T [Member]
Subsequent Event [Line Items]
Common stock, shares	493,882
Subsequent Event [Member] | Class S [Member]
Subsequent Event [Line Items]
Common stock, shares	4,362
Subsequent Event [Member] | Class D [Member]
Subsequent Event [Line Items]
Common stock, shares	270,120
Subsequent Event [Member] | Class I [Member]
Subsequent Event [Line Items]
Common stock, shares	2,355,399
Subsequent Event [Member] | Alliance Data Systems Office Building ("CO Property") [Member]
Subsequent Event [Line Items]
Total Sublease Rentable Area | ft²		233,573
Sublease lease commencement date		Jan. 01, 2022
Lease term		92 months
Lease option to extend description		The terms of the sublease, which commences on or about January 1, 2022, and includes a term of 92 months with renewal rights extending up to the lease maturity of the existing lease.
Building and building improvements | $		$ 5,800,000
Subsequent Event [Member] | Kacey Property Acquisition [Member]
Subsequent Event [Line Items]
Kacey property acquisition, description		On November 4, 2021, the Company, thru its Operating Partnership, acquired an indirect, controlling equity interest of 9.97%, with an investment of $2.820 million, in a Delaware Statutory Trust, (the “Kacey DST”), which purchased a 331-unit, Class-A multifamily, apartment community located in Kingwood, Texas. The property was acquired for a purchase price of $67.0 million, exclusive of closing costs,  and was further financed by additional equity invested by the Company’s sponsor, CFI, Cantor Realty Fund III, a fund managed by an affiliate of CFI, and a newly formed subsidiary of CAF Management (“CAF”) as well as by a $40.640 million, fixed rate (coupon of 3.536%)  mortgage loan made to Kacey DST in the amount of $40.640 million by Arbor Private Label. This transaction is the seventh DST transaction that CFI has completed with CAF and its affiliates, who also will, as they have in the prior six transactions, provide property and asset management services with regards to the property owned by Kacey DST.
Equity investment		9.97%
Equity investment | $		$ 2,820,000
Number of units of Class-A multifamily, apartment community purchased | Apartment		331
Purchase price of acquisition | $		$ 67,000,000.0
Acquisition date		Nov. 04, 2021
Debt instrument, loan amount | $		$ 40,640,000
Fixed rate		3.536%
Common Stock [Member] | Subsequent Event [Member]
Subsequent Event [Line Items]
Number of eligible repurchase requests | RepurchaseRequest						15
Stock repurchased, shares						25,797
Stock repurchase | $						$ 638,482