Which Linux distribution would work well on an older Alienware 14?

There is no single objectively correct distribution for this setup. Ubuntu, Mint, Fedora, and Debian all have extensive documentation, so choose one with a desktop you like and good hardware support. Before installing, make a backup and test the distribution from a USB drive; that is more useful than choosing based only on general recommendations.

Your requirements do not point to anything unusually specific, so Fedora KDE Plasma or Fedora Workstation would both be reasonable choices. Fedora with Firefox should handle browser-based OneDrive, Zoom, and Figma well. KDE Plasma may feel more familiar if you are coming from Windows, while Workstation uses GNOME and has a simpler layout.

Since Figma and OneDrive do not have full official Linux desktop applications, your experience will depend mostly on the browser. Firefox or Chrome/Chromium should work for the web versions, and Zoom can be used through its web client or Linux application. It may be worth testing a few live USB environments first to confirm that Wi-Fi, graphics, sound, and suspend work properly on the Alienware.

Linux Mint, LMDE, Debian, or Xubuntu are also good beginner-friendly options. LMDE is worth considering if you want the familiar Mint experience while staying based directly on Debian. Xubuntu can be a lighter choice if the laptop’s graphics hardware or battery life becomes a concern.