Combine multiple events

I have Java code that looks a bit like the sample below.
The library I’m using logs warnings and errors with slf4j.
All the errors are send to Sentry because I’m using a log4j appender to Sentry.

What I would like is that if the catch is reached, I would get a Sentry issue with a log of all the previous events.
The problem is that the library I’m using isn’t my own and when there is an error, the authors ask for a complete log. Not only the last error.

Is that possible?

new Thread(() -> {
	try {
		    new BreadcrumbBuilder().setMessage("Start Session").build()

		Library library = new Library()
	} catch (Throwable e) {
		logger.error("Error when starting session", e);