Wait a month or two (because you need to have good enough performance from one platform before testing new networks because it’s always an investment to start a new network and therefore a new learning period) and then launch a Facebook remarketing campaign.
Here's how and why we often recommend "leaning out" an ad account.
Why do I need a Branded Search Campaign/Why do I need to spend money when someone is searching for my brand name?
Avoid sending hot leads to competitors and gain extra data for optimization opportunities.
It's possible to target competitors beyond the basic competitor campaign (which is where we show an ad after someone searches for a competitor). We can do this using affinity & intent audiences (which are audiences of people who are frequently associated with the competitor's business).
The paid campaigns are always going to bring in higher quality website traffic than organic search results for a few different reasons.