From the top-floor window of Broadlake’s office in Millbank House in Sandyford in South Dublin, you can see the Luas line, with the Stillorgan Reservoir beyond it.  Inside, the decor is colourful, with artworks and skateboards fixed to the walls, reflecting the many countries in which the investment firm now operates through its portfolio of 11 businesses spanning healthcare, snacks, and soap.  Broadlake, founded by entrepreneur Pete Smyth, has grown organically and by acquisition; most recently, it acquired Diverse Diagnostics, a specialist private provider of ADHD and autism assessment in Ireland and Britain. Broadlake with its business partners Brian Crowley and…