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Note A - Organization and Business Operations (Details Textual)
$ / shares in Units, a in Millions
6 Months Ended
Aug. 25, 2021
USD ($)
ft²
$ / shares
shares
Jun. 30, 2022
USD ($)
ft²
a
$ / shares
May 27, 2022
$ / shares
Dec. 31, 2021
USD ($)
$ / shares
Number of Parking Facilities   45    
Number of Parking Spaces   15,818    
Area of Real Estate Property (Square Foot) | ft²   5,500,000    
Warrants and Rights Outstanding   $ 3,319,000   $ 3,319,000
Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares   $ 0.0001   $ 0.0001
Color Up to Purchase Common Stock Warrants [Member]        
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | shares 1,702,128      
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares $ 11.75      
Class of Warrant or Right, Maximum Aggregate Cash Purchase Price Allowed $ 20,000,000      
Warrants and Rights Outstanding 3,300,000      
Acquisition of Three Parking Garages [Member]        
Asset Acquisition, Consideration Transferred, Total 91,386,000      
Asset Acquisition, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents 35,000,000      
Asset Acquisition, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment 98,919,000      
Asset Acquisition, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill 4,000,000      
Asset Acquisition, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-Term Debt 44,533,000      
Business Acquisition,Transaction Expenses 12,200,000      
Settlement of Deferred Management Internalization 10,000,000.0      
Asset Acquisition, Consideration Transferred, Transaction Cost $ 4,000,000.0      
OP Units [Member] | Acquisition of Three Parking Garages [Member]        
Asset Acquisition, Equity Interest Issued or Issuable, Number of Shares (in shares) | shares 7,495,090      
Asset Acquisition, Share Price (in dollars per share) | $ / shares $ 11.75      
Asset Acquisition, Consideration Transferred, Total $ 84,100,000      
MIT Common Shares [Member]        
Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares     $ 0.0001  
Multi-level Parking Garage in Cincinnati Ohio 1 [Member]        
Number of Parking Spaces 765      
Multi-level Parking Garage in Cincinnati Ohio 2 [Member]        
Number of Parking Spaces 1,625      
Multi-level Parking Garage in Chicago Illinois [Member]        
Number of Parking Spaces 1,154      
Multi-level Parking Garage [Member]        
Area of Real Estate Property (Square Foot) | ft² 1,201,000      
Mobile Infra Operating Partnership, L.P [Member] | OP Units [Member]        
Limited Liability Company (LLC) or Limited Partnership (LP), Managing Member or General Partner, Ownership Interest   45.80%    
OP Units [Member] | Color Up, LLC Loan [Member]        
Limited Liability Company (LLC) or Limited Partnership (LP), Managing Member or General Partner, Ownership Interest   44.20%    
OP Units [Member] | HSCP Strategic III, LP [Member]        
Limited Liability Company (LLC) or Limited Partnership (LP), Managing Member or General Partner, Ownership Interest   10.00%    
Bombe Asset Management LLC [Member]        
Noncontrolling Interest, Ownership Percentage by Parent     100.00%  
Retail Site [Member]        
Area of Real Estate Property (Square Foot) | a   0.2