feat: Mark exceptions as NonTerminal

[bitsandfoxes]

Resolves #1721

What this does

Sessions can now be ended as Unhandled and this PR is the Unity specific followup of getsentry/sentry-dotnet#4653

The logging integrations have to mark exceptions as Mechanism.Terminal = false; for this to work.

Result

First run

1. Game launches
2. Experiences an unhandled exception
3. Shuts down gracefully (at a later time)

Sentry: (Debug) Attempting to recover persisted session from file. 
Sentry: (Debug) No cached file to process. 
Sentry: (Debug) Checking for 'CrashedLastRun' 
Sentry: (Debug) Native SDK reported: 'crashedLastRun': 'False' 
Sentry: (Info) Recovered session: EndStatus: Exited. PauseTimestamp: 10/29/2025 3:25:50 PM +00:00. PendingUnhandled: False 

Sentry: (Info) Started new session (SID: 680ce4133f744b7cb8c1f6a662e11dbe; DID: 490e1b75-b17e-41c3-8a3f-7cc0a02e6ac9). 
Sentry: (Debug) Persisting session (SID: '680ce4133f744b7cb8c1f6a662e11dbe') to a file. 
Sentry: (Debug) Creating persistence directory for session file at '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A'. 
Sentry: (Debug) Persisted session to a file '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A/.session'. 

Sentry: (Info) Capturing event. 

Sentry: (Debug) Marking session as 'Unhandled', due to non-terminal unhandled exception. 
Sentry: (Debug) Persisting session (SID: '680ce4133f744b7cb8c1f6a662e11dbe') to a file. 
Sentry: (Debug) Creating persistence directory for session file at '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A'. 
Sentry: (Debug) Persisted session to a file '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A/.session'. 

Sentry: (Info) Quitting. Pausing session and flushing. 
Sentry: (Info) Pausing session (SID: 680ce4133f744b7cb8c1f6a662e11dbe; DID: 490e1b75-b17e-41c3-8a3f-7cc0a02e6ac9). 
Sentry: (Debug) Persisting session (SID: '680ce4133f744b7cb8c1f6a662e11dbe') to a file. 
Sentry: (Debug) Creating persistence directory for session file at '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A'. 
Sentry: (Debug) Persisted session to a file '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A/.session'. 

Second run

1. Game launches
2. Updates session from first run as Unhandled
3. Experiences exception - marks as unhandled again
4. Crashes

 
Sentry: (Debug) Attempting to recover persisted session from file. 
Sentry: (Debug) Checking for 'CrashedLastRun' 
Sentry: (Debug) Native SDK reported: 'crashedLastRun': 'False' 
Sentry: (Info) Recovered session: EndStatus: Unhandled. PauseTimestamp: 10/29/2025 3:25:57 PM +00:00. PendingUnhandled: True 

Sentry: (Info) Started new session (SID: 0f8a8ec6ca7241c89ce759e26b43f580; DID: 490e1b75-b17e-41c3-8a3f-7cc0a02e6ac9). 
Sentry: (Debug) Persisting session (SID: '0f8a8ec6ca7241c89ce759e26b43f580') to a file. 
Sentry: (Debug) Creating persistence directory for session file at '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A'. 
Sentry: (Debug) Persisted session to a file '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A/.session'. 

Sentry: (Info) Capturing event. 

Sentry: (Debug) Marking session as 'Unhandled', due to non-terminal unhandled exception. 
Sentry: (Debug) Persisting session (SID: '0f8a8ec6ca7241c89ce759e26b43f580') to a file. 
Sentry: (Debug) Creating persistence directory for session file at '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A'. 
Sentry: (Debug) Persisted session to a file '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A/.session'. 

CRASH

Third run

1. Launches
2. Updates session from first run as Crashes

Sentry: (Debug) Attempting to recover persisted session from file. 
Sentry: (Debug) Checking for 'CrashedLastRun' 
Sentry: (Debug) Native SDK reported: 'crashedLastRun': 'True' 
Sentry: (Info) Recovered session: EndStatus: Crashed. PauseTimestamp: . PendingUnhandled: True 

Sentry: (Info) Started new session (SID: 052a99311ac64cde97b54ce076cabccc; DID: 490e1b75-b17e-41c3-8a3f-7cc0a02e6ac9). 
Sentry: (Debug) Persisting session (SID: '052a99311ac64cde97b54ce076cabccc') to a file. 
Sentry: (Debug) Creating persistence directory for session file at '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A'. 
Sentry: (Debug) Persisted session to a file '/Users/bitfox/Library/Application Support/com.DefaultCompany.unity-of-bugs/Sentry/40AD943C7A638EFBE52F9ECCCAF93C031D408E8A/.session'. 

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