Fix logo color when theme is toggled

[aditi-jadhav-arch]

##Which issue does this PR close?

Closes #454

##Rationale for this change

• Previously, the footer logo and logos on secondary pages (services.html, blogListing.html, work.html, etc.) did not update correctly when the color theme was toggled.
• Multiple scattered implementations were causing inconsistent behavior and a broken user experience.
• This PR centralizes the logo-switching logic, refactors redundant code, and ensures a consistent and reliable theme-switching mechanism across the website.

##What changes are included in this PR?

• Fixed a critical bug where the footer and page-specific logos were not updating when the theme changed.
• Centralized all logo-switching logic into the updateLogo() method in darkMode.js, creating a single source of truth.
• Implemented a consistent HTML pattern using the theme-aware-logo class and data-light-src / data-dark-src attributes for all theme-aware images.
• Refactored and cleaned up redundant/conflicting inline CSS and JavaScript in blogListing.html and work.html.
• Ensures the user's last chosen theme is remembered via localStorage and applied consistently across all pages.
• Made the system easily extensible: future theme-aware images can use the theme-aware-logo class with appropriate data- attributes.

##Are these changes tested?

• Yes, manually tested in both light and dark modes to ensure all logos update correctly.
• Confirmed theme persistence across page reloads.

##Are there any user-facing changes?

Yes, the logo now changes color correctly on all pages when the theme is toggled, providing a seamless user experience.

##Screenshots

• Light mode:

1. Navbar

2. Footer

• Dark mode:

1. Navbar

2. Footer

[github-actions]

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[aditi-jadhav-arch]

@gyanshankar1708 Please review the PR.