Portable Timber Milling business needs a logo

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This customer received 86 logo designs from 42 designers. They chose this logo design from Aezakmi as the winning design.
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Logo Design Brief
I need a logo designed for my new business called "I Mill Timber". I am based in Australia.
I have a portable timber mill which I use to cut logs and trees into useable timber for people to use as woodworkers or builders. The Mill is on a trailer to be able to take it to where the log/tree is, so it makes it accessible to almost any household. Typically someone has a log or tree that they want cut into useable timber, and that is what I do.
I've uploaded an example video of what the job (and machine) look like. I've also uploaded a cartoon man that is a style I like, but he is a lumberjack, not a miller. I'm not sure how to represent a miller (Sawyer) though.
I've also uploaded some pictures of how a log will look once cut into boards. I'm not sure if I should use those in the logo or not. I've also included a couple of other pictures that inspired me.
I'm hoping for the focus to be on the cut timber since that is what is relevant to the customers I'm hoping to attract, but it does need to reference the cutting of timber since it is a service I'm providing and I don't sell the timber itself.
Please reach out with any questions you have.
Logo Text
I Mill Timber
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