[FEAT] Add `deepStrictOmit` runtime function

[kakasoo]

Feature Request

• Extensions of existing features
• Propose a type that didn't exist before

Type Expectation

The runtime implementation for deepStrictPick exists, but its inverse operation deepStrictOmit has no runtime implementation. Since Pick and Omit are commonly used as a pair, a deepStrictOmit runtime function is needed for API completeness.

Example Type

const input = {
  a: 1,
  b: { c: 2, d: 3 },
  e: [{ f: 4, g: 5 }],
};

const result = deepStrictOmit(input, 'b.c');
// result: { a: 1, b: { d: 3 }, e: [{ f: 4, g: 5 }] }
// typeof result: DeepStrictOmit<typeof input, 'b.c'>

const result2 = deepStrictOmit(input, 'e[*].f');
// result2: { a: 1, b: { c: 2, d: 3 }, e: [{ g: 5 }] }

Proposed Solution

1. Create src/functions/DeepStrictOmit.ts
2. Signature: deepStrictOmit<T extends object, K extends DeepStrictObjectKeys<T>>(input: T, key: K): DeepStrictOmit<T, K>
3. Reference the traverse pattern from deepStrictPick, but invert the logic (only remove specified keys)
4. Add re-export to src/functions/index.ts
5. Use [*] pattern for removing keys from each element during array traversal

Use Case

• Remove sensitive fields from API responses (password, secret, etc.)
• Strip unnecessary nested fields before sending to client
• Provide a symmetric API alongside deepStrictPick

Test Requirements

All changes must include the following tests:

1. Backward Compatibility

   • All existing tests must pass

2. Feature Verification

   • Top-level key omit (deepStrictOmit(obj, 'a'))
   • Nested key omit (deepStrictOmit(obj, 'a.b'))
   • Array inner key omit (deepStrictOmit(obj, 'items[*].id'))
   • Non-existent keys produce a type error (compile time)
   • Return type matches DeepStrictOmit<T, K>

3. Complex Type Stability

   • 3+ levels of nested omit
   • 2D array inner omit (items[*].sub[*].value)
   • Omit from objects with Date properties (Date preserved)
   • Omit from objects with branded types
   • Omitting all keys results in an empty object
   • Empty array input
   • Immutability check (input is not mutated)

How to verify:

npm run build:test && npm run test
npm run prettier