Many countries wouldn’t be happy with this arrangement, USA included. If you show up at the border of the US asking for a tourist entry and declare your intent

Many countries wouldn’t be happy with this arrangement, USA included. If you show up at the border of the US asking for a tourist entry and declare your intent to work while in the country, even remotely for a foreign country, there is a very good chance that you aren’t getting admitted. Canada once gave me trouble on a day trip because I had a tool bag in my car. The US is much pickier about these things.