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I am in a similar situation like you. My company lawyer told me that everytime you visit the US (on a visitors visa), your 1 year break is pushed forward by the duration of your stay in the US. For eg, if you visit US and stay there for 4 1-week periods then instead of applying for a fresh H-1 exactly 1 year after your initial move out of the US, you have to wait 13 months.
However, I am not sure whether this completely true. Please check other sources and update me if possible. Thanks