Quarterly report pursuant to Section 13 or 15(d)


Cover - shares
9 Months Ended
Sep. 30, 2023
Nov. 13, 2023
Document Information [Line Items]    
Document Type 10-Q  
Amendment Flag false  
Document Period End Date Sep. 30, 2023  
Document Fiscal Year Focus 2023  
Document Fiscal Period Focus Q3  
Entity Central Index Key 0001830029  
Entity Current Reporting Status Yes  
Entity Interactive Data Current Yes  
Entity Filer Category Non-accelerated Filer  
Current Fiscal Year End Date --12-31  
Entity Common Stock, Shares Outstanding   8,900,026
Entity Shell Company true  
Entity Small Business true  
Entity Emerging Growth Company true  
Entity Ex Transition Period false  
Entity File Number 001-39872  
Entity Incorporation, State or Country Code DE  
Entity Tax Identification Number 85-3477678  
Entity Address, Address Line One 1345 Avenue of the Americas  
Entity Address, Address Line Two 33rd Floor  
Entity Address, City or Town New York  
Entity Address, State or Province NY  
Entity Address, Postal Zip Code 10105  
City Area Code 646  
Local Phone Number 291-6930  
Document Quarterly Report true  
Document Transition Report false  
Capital Units [Member]    
Document Information [Line Items]    
Title of 12(b) Security Units, each consisting of one share of common stock and one-half of one redeemable warrant  
Trading Symbol ADEX.U  
Security Exchange Name NYSEAMER  
Common Stock [Member]    
Document Information [Line Items]    
Title of 12(b) Security Common Stock, par value $0.0001 per share  
Trading Symbol ADEX  
Security Exchange Name NYSEAMER  
Warrant [Member]    
Document Information [Line Items]    
Title of 12(b) Security Redeemable warrants, exercisable for shares of common stock at an exercise price of $11.50 per share  
Trading Symbol ADEX.WS  
Security Exchange Name NYSEAMER