Commitment and Contingencies - Narrative (Details)	1 Months Ended	3 Months Ended	9 Months Ended
	Mar. 31, 2025 USD ($) well license	Mar. 31, 2025 AUD ($)	Mar. 31, 2025 AUD ($)	Mar. 31, 2025 AUD ($) well license	Dec. 19, 2024 AUD ($) bondFacility	Jun. 30, 2024 USD ($)
Other Commitments [Line Items]
Number of potential additional performance bond facilities | bondFacility					2
Unamortized debt issuance expense				$ 770,142
Amortization of debt issuance costs		$ 72,201	$ 96,268
APA Group (APA) | Development Agreement ("DA")
Other Commitments [Line Items]
Guarantor obligation, construction costs covered by bank guarantees, percentage	67.00%			67.00%
Estimated future construction costs, term	3 months
Estimated future construction costs				$ 10,700,000
Letter of credit, facility A | Macquarie Bank Limited (“Macquarie”)
Other Commitments [Line Items]
Line of credit facility, maximum borrowing capacity					$ 25,000,000
Letters of credit outstanding, amount				7,684,129
Line of credit facility, remaining borrowing capacity				$ 17,315,872
Letter of credit, facility B | Macquarie Bank Limited (“Macquarie”)
Other Commitments [Line Items]
Line of credit facility, maximum borrowing capacity					5,000,000
Line of credit facility, conditions to issue stock, value, new issues					62,500,000
Letter of credit, facility C | Macquarie Bank Limited (“Macquarie”)
Other Commitments [Line Items]
Line of credit facility, maximum borrowing capacity					5,000,000
Line of credit facility, conditions to issue stock, value, new issues					$ 75,000,000
Letter of credit | Line of credit
Other Commitments [Line Items]
Interest rate, stated percentage	12.00%			12.00%
Letter of credit | Macquarie Bank Limited (“Macquarie”)
Other Commitments [Line Items]
Line of credit facility, covenants, minimum liquidity				$ 20,000,000
Line of credit facility, covenants, minimum current ratio	100.00%			100.00%
Line of credit facility, establishment fee			$ 500,000
Line of credit, drawdown fee percentage			10.00%
Line of credit facility, commitment fee percentage			4.00%
Letter of credit, facility B and C | Macquarie Bank Limited (“Macquarie”)
Other Commitments [Line Items]
Line of credit facility, remaining borrowing capacity				$ 10,000,000
Sweetpea
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	$ 21,972,265					$ 23,283,360
Number of licenses | license	2			2
Sweetpea | EP 136
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	$ 13,283,375
Unrecorded unconditional purchase obligation, term			5 years
Sweetpea | EP 143
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	8,688,890
EP 161
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	2,500,400					2,649,600
Beetaloo Joint Venture
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	$ 70,761,319					62,642,340
Number of wells | well	4			4
Beetaloo Joint Venture | EP 76
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	$ 10,173,502
Beetaloo Joint Venture | EP 98
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	49,566,523
Beetaloo Joint Venture | EP 117
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	11,021,294
Midstream
Other Commitments [Line Items]
Committed at the reporting date but not recognized as liabilities, payable	$ 4,955,806					$ 1,971,843