why trust the government with depopulation agenda?

Don't trust the world.

Show me how your assertion is true and not your opinion.

We are not there yet. However, a few years ago before the international socialists thought they ever had a chance to make changes in the USA, depopulation along with confiscation of wealth was part of their platform.

Many of their most unpopular items have been taken off the website because they know most would never support them if they knew the truth. In fact just a few years ago many far left weirdo's were pining for something like a pandemic to lower our population. Only they were hoping for a fatality rate in the billions.

There is no such agenda in the U.S. 

Are you asking why we should trust the government to follow a depopulation agenda, or are you asking why we should trust a government that has a depopulation agenda?  If the former, the answer is, "We shouldn't," and if it's the latter, the answer is, "It doesn't matter because our government has no such agenda."