Beedle.sol does not have an exposed burn function, which will not allow it to be burned in any case.
If Beedle intends to burn tokens as part of it's business requirements it will not be possible.
This would be a HM if there is a crucial business requirement to burn tokens, and not a risk if the token does not need to be burned.
Foundry
Expose the burn function by switching the modifier to external as per usual ERC-20 tokens.
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