Laptop specs for lightroom classic

I don't think that model is a good idea. Although it should run Lightroom Classic (I have an old laptop similar to that), Lightroom Classic is moving beyond the capabilities of the old Intel-based Mac laptops. It has enough memory and storage, it's just the CPU and GPU are very old and inefficient. Lightroom Classic is now taking advantage of the more powerful graphics hardware and additional, more efficient CPU cores in the Apple Silicon-based Mac laptops that started shipping 4 years ago.

As one example, a Mac or PC with Intel UHD Graphics 630 is not powerful enough to run some newer AI features in Lightroom Classic, and it is too weak to take full advantage of graphics acceleration. If graphics acceleration is unavailable, that will put an additional strain on the old CPU.

For around £600 you should instead look for a used or refurbished M1 MacBook Air or better, aiming for 16GB of memory and 512GB storage. Apple was selling the M1 Air as new until only a few weeks ago because even after four years, it has been a viable budget laptop for raw photo editing. In the USA, some stores still sell the M1 Air new today for $650-750. Any Apple Silicon-based laptop (M1, M2, M3), even the earliest one from 2021, can run the latest Lightroom Classic features, especially if they have 16GB or more of unified memory.

I am planning on buying a new laptop purely for lightroom classic but i dont want to spend a fortune.

A tough restriction to meet. For best performance you do need to spend more than the "average" laptop, in order to get "above average" hardware.

Yes that laptop would run LrC, but the real question is: would it run LrC fast, or okay, or slow? Can you tell us what graphics processor is in that computer? Can you tell us the exact CPU make and model?

Also I think you will quickly run out of space on the 512GB SSD, and you will need an external drive for your photos.