Allowlist public implicits identifier for typos 1.50

[ChrisRackauckas-Claude]

Please ignore this PR until it has been reviewed by @ChrisRackauckas.

What changed and why

crate-ci/typos 1.50.0 added implicits -> implicit to the dictionary (crate-ci/typos#1611, v1.50.0). DataDrivenDiffEq uses implicits as a public Basis keyword and as a local name matching implicit_variables; renaming would be noisy and breaking. SciML/.github's reusable Spell Check workflow @v1 now pins crate-ci/typos@v1.50.1 (SciML/.github#129), so Spell Check fails on current master and on unrelated PRs such as #681.

This PR only adds implicits = "implicits" to .typos.toml [default.extend-words].

Bisect

The identifier is not a recent DataDrivenDiffEq regression.

• First commit with unallowlisted implicits: a0145ce982a3abec100ef32f42629676a7334939 (Get ready for implicit optimizers, 2021-03-29). Found by git bisect over current master: bad iff a .jl file contains implicits and .typos.toml does not allowlist it.
• The candidate.jl occurrence (implicits = implicit_variables(basis)) landed in dc6c7b3d4c9291090f9be07f4a92e9cd374a7a41 (Lux (#427), 2022-12-18).
• Spell Check was added later (8526cd292905ae49a81eba4b50773f8b06f42c8a, 2025-07-29) with crate-ci/typos@v1.18.0, which did not flag implicits.
• CI started failing when typos became stricter: dictionary change in typos v1.50.0 (2026-08-28); reusable workflow bump SciML/.github#129 merged 2026-09-07 (crate-ci/typos 1.49.0 → 1.50.1). DataDrivenDiffEq calls SciML/.github/.github/workflows/spellcheck.yml@v1. Confirmed locally: typos 1.47.0 / 1.48.0 / 1.49.0 exit 0 on master; 1.50.0 and 1.50.1 exit 2 with 57 implicits hits.

#680 already mixed this same allowlist line into the x86-lane drop. Once this lands, that line can be dropped from #680 so that PR stays single-purpose.

Verification

Master 9d31f922 with typos-cli 1.50.1 (CI pin):

$ typos   # crate-ci/typos v1.50.1
error: `implicits` should be `implicit`
    ╭▸ ./lib/DataDrivenLux/src/caches/candidate.jl:268:9
    │
268 │         implicits = implicit_variables(basis),
    ╰╴        ━━━━━━━━━
# 57 errors, all `implicits`; exit 2

This branch with the same binary:

$ typos   # crate-ci/typos v1.50.1
# no output; exit 0

Local default typos-cli 1.47.0 still passes (it never flagged implicits).

What I did not verify

• Julia test groups, QA, docs build, GPU, downstream: not applicable; this PR only edits .typos.toml.
• I did not change crate-ci/typos or SciML/.github; those stay on the floating @v1 reusable workflow.

Reviewer notes

• implicits is public API (Basis(..., implicits = ...)), not a misspelling of implicit. Allowlisting is the intended SciML fix; a rename would be breaking.
• Mechanical one-file change; no behavior change.

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Links

• Failing PR Spell Check: Ignore flaky Zenodo and SINDY-MPC URLs in docs linkcheck #681
• Failed Spell Check run: https://github.com/SciML/DataDrivenDiffEq.jl/actions/runs/34358807499
• Identifier origin: a0145ce
• candidate.jl occurrence: dc6c7b3
• Spell Check added: 8526cd2
• typos dictionary PR: feat(dict): August updates crate-ci/typos#1611
• typos v1.50.0: https://github.com/crate-ci/typos/releases/tag/v1.50.0
• SciML/.github typos bump: ci: Bump crate-ci/typos from 1.49.0 to 1.50.1 in the github-actions group across 1 directory .github#129
• SciML/.github bump commit: SciML/.github@d2448a9
• Mixed allowlist on Remove x86 CI lane (BFloat16s i686) #680: Remove x86 CI lane (BFloat16s i686) #680