Congratulations for the repair !
You can build this ESR-meter:
https://www.eevblog.com/forum/projects/5-transistor-esr-meter-design/ I think it's the simplest one that can be done, and it's also very cheap to build...
And about the usage of an ESR meter, as I mentioned, the ESR does matter most in switching power supplies, where an increased ESR can increase the output ripple outside the normal limits... From what I have seen so far, I never seen a capacitor that has a high ESR and the other parameters (like capacitance, dissipation factor) remain normal... Usually, as a electrolytic capacitor leaks or dry out, its capacitance drops significantly, its ESR increases, its dissipation factor increases...
In switching power supplies they tend to fail beacause they work at high ripple currents and the manufacturers don't always consider to use capacitors that support ripple currents much higher than the actual currents in the circuit... They work at their limits, and of course, that is why they tend to fail... On the other hand, in 50/60 Hz systems, like audio amplifiers, they rarely fail...