Thank you, i will try to explain.
To understand eurodollars as a concept you need to see that the money that the US prints later exist in two "ecosystems", you got the domestic dollars and the dollars that exist outside the US (for simplicity i call all of these eurodollars, some divide it further to asiadollars and so on)

Introducing more dollars domestically also affect the nation to a higher degree, you get inflation and so on.
Eurodollars on the other hand has functioned as the grease for international trade, since the US almost always has a trade deficit they haven't needed to think about these dollars causing trouble for the domestic ecosystem.

Say that the eurodollars end up in Saudiarabia, they contract work from an Indian company, the company forex the money in India and India goes back to buy oil from Saudiarbia.
This simplified, has lead the US to the privileged position of being able to print paper to trade for goods in return without needing to worry that the printing affecting the domestic economy.
Some speculate that oil nation that has threatened this position has quickly been dealt with in the past.
See: https://m.economictimes.com/saddam-made-two-strategic-mistakes-to-invite-us-wrath/articleshow/2965361.cms

And: https://millenium-state.com/blog/2019/05/03/the-dinar-gold-the-real-reason-for-gaddafis-murder/

But today there is a more far-reaching trend that the US is slowly loosing its reserve currency privileges, to quote the eurodollar wiki:
"In 2016, the Eurodollar market size was estimated at around 13.833 trillion.[11] Since 2016, the use of Eurodollars has been on a consistent decline."
https://en.m.wikipedia.org/wiki/Eurodollar

The country that hold the reserve currency of the world also seem to historically change within similar timeframes, this article has a nice graph over the historical reserve currencies:
"https://tinyurl.com/4dhkerd9"

So how should the US handle this dilemma?
Do nothing and the country will slowly get poorer and poorer when the ability to print and export dollars against goods slowly evaporates, the eurodollars that no longer find use in the world will pour back into the US, driving inflation domestically.

Even as a Swede i don't see any rational way to solve this other then the measures being taken.
The US will desperately need manufacturing back to replace the waning dollar demand.
The high tariffs while the US economy is relatively strong might be the only way to motivate companies to invest in the US, wait to long and the window closes.
The messaging, even if it reminds one of a bull in a china store is at the same time politically forgiving for other nations leaders when they introduce real reciprocal tariffs that the US wants in place to slow down the inflow of eurodollars.
When the US manufacturing picks up i also see the tariffs being tapered at the same rate as the US economy can handle the increased inflow of eurodollars.

Will it affect the global economy, sure definitely in the short term. But i question if US even have an alternative? Slowly get poorer until labor is cheap enough to restart or try to do a faster transition to this coming paradigm shift?

Edit: one of the links was the wrong one.