To Buy Original Matching Gold bracelet for 1803 (president day date), yay or nay?

[watchtabs]

Hey everyone

So I picked up a beautifully kept 1803. I bought it without a bracelet. This watch had a particular engraving on the back. Paid ~ 4.5k

Now, I just found the matching bracelet, with the SAME ENGRAVING, and upon checking, yes its the matching bracelet.

The bracelet is being sold for 2.5k, would you buy it? I just did

But I'd like to know your opinion. You guys are much more learned than I am in this matter. I'm interested in, is it worth it to have both? Specially the matching one? Is that a special reason?

I want some objective reasons to buy or not. Would you?

Here's the watch just for reference.