There is a third party integration (By @AdVision) that allows for a multi store integration and automatically moving stock around.
Another partner, Accumula has made a similar integration you might want to check out: https://www.lightspeedhq.com/integrations/accumula/
These options are way to expensive. We might want to expand with an extra brick store. But this needs to work - it's what Lightspeed itself stands for. And Lightspeed Retail has already got the perfect stock management system for this. Just make the connection! The data is already there.
I can't believe that a software company that promotes "omnichannel" can't make their web store show inventory for more than one location. Ridiculous.