Ratan/fix const mut 1.81

[clabby]

Overview

Re-opened version of @ratankaliani's PR @ #1018, since codecov tokenless upload doesn't appear to be working. Potentially related to codecov/codecov-action#1487.

[codecov]

Codecov Report

Attention: Patch coverage is 40.00000% with 3 lines in your changes missing coverage. Please review.

Project coverage is 90.3%. Comparing base (64432eb) to head (2216612).
Report is 1 commits behind head on main.

✅ All tests successful. No failed tests found.

Files with missing lines	Patch %	Lines
crates/mpt/src/list_walker.rs	0.0%	1 Missing ⚠️
crates/proof-sdk/proof/src/l2/chain_provider.rs	0.0%	1 Missing ⚠️
crates/proof-sdk/std-fpvm/src/channel.rs	0.0%	1 Missing ⚠️

Additional details and impacted files

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