Update Rust toolchain channel to nightly-2025-12-01

[storopoli]

Description

Update Rust toolchain channel to nightly-2025-12-01 to match alpenlabs org repos

Type of Change

• Bug fix (non-breaking change which fixes an issue)
• New feature/Enhancement (non-breaking change which adds functionality or enhances an existing one)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)
• Documentation update
• Refactor
• New or updated tests
• Dependency Update

Notes to Reviewers

Checklist

• I have performed a self-review of my code.
• I have commented my code where necessary.
• I have updated the documentation if needed.
• My changes do not introduce new warnings.
• I have added tests that prove my changes are effective or that my feature works.
• New and existing tests pass with my changes.

Related Issues

[github-actions]

Commit: 6fee013

SP1 Execution Results

program	cycles	success
fibonacci	1,107	✅
sha2_chain	7,481	✅
schnorr_sig_verify	4,451,306	✅
groth16_verify_sp1	11,087,840	✅
groth16_verify_risc0	162,791,063	✅

RISC0 Execution Results

program	cycles	success
fibonacci	3,706	✅
sha2_chain	9,906	✅
schnorr_sig_verify	4,470,699	✅
groth16_verify_sp1	49,049,823	✅
groth16_verify_risc0	163,016,799	✅