STR-670: Remove deprecated bitcoind crate

[storopoli]

Description

bitcoind has been deprecated (see the warning here: https://docs.rs/bitcoind/latest/bitcoind/ )

We should move to corepc which also is up-to-date with bitcoin version 28.0, while bitcoind is stuck in version 26.0.

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

• I had to bring bitcoincore-rpc for some compatibility without major rewrites in the integration tests, i.e. tests/.
• I purposely did not add them to the root-level Cargo.toml since they are dev-dependencies and I don't want to add them to the compile bloat whenever we do cargo build (or save a file with rust-analyzer).

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

STR-670

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 56.62%. Comparing base (a2d29b0) to head (e612b73).
Report is 6 commits behind head on main.

@@            Coverage Diff             @@
##             main     #500      +/-   ##
==========================================
- Coverage   56.63%   56.62%   -0.01%     
==========================================
  Files         275      275              
  Lines       29192    29189       -3     
==========================================
- Hits        16532    16528       -4     
- Misses      12660    12661       +1     

Files with missing lines	Coverage Δ
bin/bridge-client/src/descriptor.rs	50.48% <ø> (ø)
crates/btcio/src/rpc/client.rs	88.50% <100.00%> (ø)
crates/util/python-utils/src/drt.rs	87.17% <100.00%> (-0.07%)	⬇️

... and 6 files with indirect coverage changes

[AaronFeickert]

utACK

[Zk2u]

LGTM