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Novation of Manufacturing Agreements (Details) | 1 Months Ended
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Apr. 30, 2023 USD ($)
Commitments and Contingencies Disclosure [Abstract] |
Right to terminate agreement or work order, prior written notice period | 6 months
Right to terminate work order, reasonable cause, prior written notice period | 30 months
Right to terminate work order by counterparty, reasonable cause, termination amount payable | $ 0
Right to terminate work order, material breach, uncured period | 30 days
Right to terminate work order, unusual or infrequent cause, period | 90 days
Non-refundable license fee amount | $ 200,000
Royalty percentage (less than) | 1.00%
Right to terminate agreement, prior written notice period | 6 months
Right to terminate agreement by counterparty, material breach, uncured period | 60 days
Right to terminate agreement by counterparty, payments not received, period | 30 days

X
- Definition Other Commitment, Non-Refundable License Fee Amount + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Other Commitment, Right To Terminate Agreement By Counterparty, Material Breach, Uncured Period + References No definition available. + Details
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Namespace Prefix: | syre_
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Balance Type: | na
Period Type: | duration

X
- Definition Other Commitment, Right To Terminate Agreement By Counterparty, Payments Not Received, Period + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Other Commitment, Right To Terminate Agreement Or Work Order, Prior Written Notice Period + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Other Commitment, Right To Terminate Agreement, Prior Written Notice Period + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Other Commitment, Right To Terminate Work Order By Counterparty, Reasonable Cause, Termination Amount Payable + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Other Commitment, Right To Terminate Work Order, Material Breach, Uncured Period + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Other Commitment, Right To Terminate Work Order, Reasonable Cause, Prior Written Notice Period + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Other Commitment, Right To Terminate Work Order, Unusual Or Infrequent Cause, Period + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Other Commitment, Royalty Percentage + References No definition available. + Details
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Namespace Prefix: | syre_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | instant

X
- References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration