feat(runtime): migrate Base consumers to base-bash-libs v2 API

[codeforester]

Closes #1880

Related: base-bash-libs#240

Summary

• migrate Base Bash consumers from removed generic base-bash-libs names to the v2 base_ API
• initialize the v2 stdlib runtime state before Base uses cleanup, file, and logging helpers
• make basectl help work with the current v2 namespace and improve stale-library diagnostics
• update focused runtime, help, update-profile, and contract documentation coverage

Root cause

Base still called the removed base_bash_libs_require_version and other generic v1 symbols. The first failure masked a second issue: v2 stdlib state is explicit, so cleanup/file helpers need base_init runtime initialization after sourcing lib_std.sh.

Validation

• bats tests/base_init.bats cli/bash/commands/basectl/tests/help.bats
• bats cli/bash/commands/basectl/tests/update-profile.bats
• BASE_BASH_LIBS_DIR=~/work/base-bash-libs/lib/bash ./bin/basectl help
• BASE_BASH_LIBS_DIR=~/work/base-bash-libs/lib/bash ./bin/base-test (944 passed, 1 skipped in the Python suite)

The final minimum-version floor will be raised to v2.0.0 after the base-bash-libs GA asset and Homebrew cutover are verified.