Mulch over landscape fabric seems to be the 'answer' and it looks good initially.  But over time (several years) the landscape fabric deteriorates and weeds grow through it.  It's not recommended long term.  My personal experience with cedar mulch over fabric is that the mulch naturally decays on top of the fabric creating a 'second soil' that weeds can grow in.  Depending on the fabric it can be difficult to dig through when adding plants.  I mulch over soil now.  More info here:
https://extension.illinois.edu/blogs/good-growing/2021-06-25-disadvantages-landscape-fabric
https://extension.unh.edu/blog/2019/05/should-i-use-landscape-fabric-keep-weeds-out-my-perennial-garden
https://extension.psu.edu/putting-an-end-to-my-landscape-fabric-nightmare