Using nondeterministic/random functions during SSR

[FeldrinH]

I have an function that uses random number generation (currently Math.random) that I want to use with SvelteKit during SSR.
As far as I can tell I have two suboptimal choices:

1. Put it in +page.ts load. In that case it gets rerun on the client causing the random value to change, which creates an unpleasant change in the page content after hydration.
2. Put it in +page.server.ts load. In that case I end up making an unnecessary request to the server during every client side navigation.

Is there a solution that allows me to avoid these drawbacks i.e. not make extra requests to the server but also not render the page twice with different values on initial load?