Perhaps RBF didn't work as you didn't have any other funds in your wallet?
No, RBF would have failed because Lightning channels are 2-of-2 multisignature wallet scripts. If OP was successful with the RBF, then that would have permanently confused both channel partners, since the transaction would have been maleated to a new transaction hash/ID - basically Mt. Gox-ing yourself.
CPFP or a miner bribe/MEV (i.e., Mempool.space Accelerator) are the correct ways to solve the predicament.
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