My main concern with these browser agents are how are they handling prompt injection. This blog post on Perplexity's Comet browser comes to mind: https://brave.com/blog/comet-prompt-injection/.
Also, today Anthropic announced Claude for Chrome (https://www.anthropic.com/news/claude-for-chrome) and from the discussion on that (https://news.ycombinator.com/item?id=45030760), folks quickly pointed out that the attack success rate was 11.2%, which still seems very high.
How do you plan to handle prompt injection?