Why does the font rendering change after I publish to the web?

I created an animation in Edge Animate with four slides, using Open-Sans as the font. The font rendering looks good in Edge Animate and looks good in the local html version as well, but when I publish it to the website, the font formatting is not acceptable.

Here is the local HTML version:

Here is how it appears on the website:

Is there a way to control this better?

Thanks.