That 35% boost sounds lovely on paper, but honestly I'd be cautious before doubling down on more links.
forty-five links in one month on a site that barely had any before is a massive velocity spike. google's SpamBrain got a big update last August, and it's specifically trained to flag patterns like that. Doesn't mean you're doomed, but an eight-month-old domain jumping from near zero to forty-five in four weeks is exactly the sort of thing that raises eyebrows.
for tracking, Google Search Console is your best free bet. Head to Links > Top linking sites and cross-reference with your ranking changes in Performance. what really matters is whether the pages those links point to are the ones actually moving. If most of those links landed on your homepage but a product category page jumped to page one, the links probably aren't what made it happen.
Ahrefs is worth the spend if you can squeeze it. Filter your backlink report by "new" and line up the dates against your ranking shifts week by week. that's how you spot which links actually made a difference.
Going forward I'd slow right down. For a site your size, five to ten new referring domains a month is plenty. i audit ecommerce stores regularly, and the ones that get stung are almost always the ones that went too hard too fast in year one. Mix in some earned links too - product roundups, eco-friendly directories, maybe a genuinely useful sustainability guide that attracts links on its own.
Honestly, some of that initial boost might just be your site ageing into Google's trust. Eight months is around when a lot of new domains start to see movement regardless. Don't give the links all the credit