Upgrade Dependencies to Resolve Deprecations, Conflicts, and Security Vulnerabilities

## Overview
Our project is facing npm deprecation warnings, dependency conflicts, and security vulnerabilities. Resolving these issues is essential for maintaining stability, security, and long-term maintainability.

## Issues Identified

### Deprecation Warnings
- **`querystring@0.2.0`**: Replace with `URLSearchParams`.
- **`svgo@1.3.2`**: Upgrade to `svgo@2.x.x`.
- **`chokidar@2.1.8`**: Upgrade to `chokidar@3.x.x`.
- **Additional Deprecated Packages**: Includes `urix`, `stable`, `uuid`, and more.

### Dependency Conflicts
- **Example**: Conflicts between `eslint@6.8.0` and `@typescript-eslint/parser@1.13.0`.
- **Impact**: May cause unexpected behavior or build failures.

### Security Vulnerabilities
- **Summary**:
- **Low**: 5
- **Moderate**: 61
- **High**: 35
- **Critical**: 1
- **Recommendations**:
- Run `npm audit fix` for non-breaking fixes.
- Use `npm audit fix --force` with caution for breaking changes.
- Manually resolve remaining issues.

## Proposed Actions

### Upgrade Deprecated Dependencies
- Replace `querystring` with `URLSearchParams`.
- Upgrade to `svgo@2.x.x` and `chokidar@3.x.x`.
- Update other deprecated packages as necessary.

### Resolve Dependency Conflicts
- Align `@typescript-eslint/parser` and `eslint` versions to avoid conflicts.
- Address other dependency issues as identified.

### Address Security Vulnerabilities
- Apply automated fixes with `npm audit fix`.
- Manually update or replace packages with unresolved vulnerabilities.
- Test the application to ensure no regressions.

## Acceptance Criteria
- Deprecated packages are upgraded or replaced.
- Conflicts are resolved with compatible dependencies.
- Security vulnerabilities are significantly reduced.
- The project builds and runs without warnings or issues.
- All functionalities are tested and verified.
- Documentation reflects updated dependencies and usage.

## Additional Information
https://github.com/boostorg/website-v2-docs/actions/runs/13034378117/job/36361062783?pr=400#step:5:27