I'm afraid the effects of the Treaty of Paris went well beyond the United States helping Spain get control of the rebels. In fact, this didn't really happen at all, except inasmuch as the United States negotiatied surrender terms with the Spanish occupiers of Manila that excluded Filipino forces. The effect of the Treaty of Paris was that Spain ceded the Philippines to the United States, who decided, not without domestic controversy, to set up an essentially colonial government there. This led to the outbreak of a very bloody war between the United States Army and Filipino fighters who sought to gain their country's independence. The conflict lasted from 1899 to 1902, and cost thousands, possibly even hundreds of thousands, of Filipino lives.
The Treaty of Paris ended the war between the United States and Spain. You can read the treaty here:
This affected the Philippines because once the US was no longer at war with Spain, they helped Spain get control of the rebels. So you can see, one event between two countries affected another deeply. I guess the enemy of your enemy really is your friend.