Install Linux on Chromebook with failed TPM module?

I have a Samsung XE303C12 Chromebook which apparently has a failed TPM module. It won't boot into ChromeOS, and when I try to recover the OS, I'm told that an error has occurred. I hit Tab and the recovery_reason is 0x05 TPM error in read-only firmware.

My questions are:

1. At this point it looks like a lost cause to get ChromeOS back on here, and I'd rather something like LinuxMint anyway. So that's what I'd like to attempt. Can I even install Linux when the TPM module is malfunctioning?


2. I can't put the Chromebook into Developer/Unverified mode since I can't boot into ChromeOS. I've tried to hit Esc+Refresh+Power and then Ctrl+D and then Enter but it just reboots to the same failure screen. Do I have to overwrite the bootloader to do this? I'm okay with that.


3. Is this a lost cause since the TPM module is (apparently) dead?