Since you're new to macro, let me make some suggestions (By the way, that Laowa 65mm 2X macro is a gem.)
You might consider initially using available light and theaccessory sthat o many love to hate: a tripod. Focusing will be more precise, no need for high ISO and fast shutter speeds because you are not handholding. An alternative is a monopood; you can easily shoot at 1/15 sec.
One of the nicest sources of light is from a large window on a cloudy day (or one that faces north). Bring some flowers inside; use a tripod; no need to deal with wind; and food is nearby.
Of course tripods are inappropriate for chasing insects. And on a breezy day, a tripod can't stop a swaying flower (but with patience there is usually a lull if you wait around long enough).
Flash: a common tool for the closeup/macro photographer. ANY shoe-mount-type flash -with a good diffuser - will work. Since you mentioned the Godox TT350, I can confirm that will be fine since that's what I use. Panasonic Eneloop rechargable natteries are well regarded; again, my choice.
The trick is to have a light source very large in comparison to the subject, though not just large, but it has to be placed so it surrounds the subject as much as possible. If the light is "large" but too far from the subject, it effectively appears "small" to the subject. Raw light from a typical flash head is way to contrasty and harsh.
For getting started, you can't beat the teardrop-shaped diffusers ($6) which work well if used properly. The diffuser should be placed as far from the flash as possible (so the light fills the area of the diffuser), and it should be tilted as far forward as possible to "embrace" the subject. (see photo below).
From the links you provided, I believe you are in Germany (couldn't open them), so I don't know the offerings on Amazon there. On Amazon U.S, the tear-drop-shaped diffusers all look pretty much the same, but some have very poor elastic in the ring that holds onto the lens barrel. Take a look at the Angler PFSD-100 on the U.S. B&H Photo website, and get one that has a similar robust elestic ring.
If you decdide you really like close-up/macro, there is no limit to flash types and flash diffusers you can get, depending on yor budget and what you're willing to carry.
A next step up from the tear-drop-shaped diffuser would be a small collapsible light box (photo below). To use for best results, it should be placed close to the subject (not just sitting in the hot shoe). You can do this by holding the flash in your left hand, the camera in the right hand; short duration of flash freezes any unstediness in the camera. Or mounting it on a bracket, as shown below. In both cases yo will need the relatively-inexpensive Godox wireless trigger.
Yes, there are twin flash units, ring flashes, and the currently-popular large hood-shaped diffusers (but the latter are somewhat physically specific to specific camera/lens/flash combinations). I think you should start basic; there's a lot to know about macro flash (largest chapters in both volumes of my macro books are on lighting!).
My diffuser-weapon of choice is a home-made (styrofoam) box held on the flash with rubber bands. The flash is held in an adjustable bracket that can position the diffuser close-to the subject, and at any angle I think appropriate (often side or top light is more intertesting than straight-on illumination). Sometimes I just hold the (wireless) flash+diffuser in my left hand positioned where I want it, the camera in my right hand.
DEFINITELY practice/experiment with whatever flash rig you decide on. We generally use manual flash, adjusting the power of the flash for the aperture and magnification in use.
All photos from Volume I of my macro books.
Lester Lefkowitz, author of
The Manual of Close-Up and Macro Photography, Volumes I and II
www.MacroPhotographer.net

This is how many macro photographers got started. Shown is the correct positioning of a tear-drop-shaped diffuser. The flash head is as far from the diffuser as possible so as to fill the diffuser all over. The diffuser tilted toward the small subject. Set the flash head for the widest position and use the pladstic Fresnel wide-angle attachment if it has one.

These commercial collapsible diffuser will also work, but if the flash is placed in the camera hot shoe, the light is a little boring being straight in. I like to pladce it on a bracket (in comfiguration shown beloiw) or even handhold it in my left hand as I place it close to the subject and a bit off to the side.
[ATTACH alt="My weapon of choice for a flash rig. Diffuser is homemade from Styrofoam and hot glue; diffusing matrerial is kitchen paper towel held on with rubber bands. The "magic arm" allows placement of the flash wherever I desire. Godox wireless flash trigger is in hot shoe. This is a Fuji X-T4 with their 80mm macro lens, but I have also used this with the Laowa 65mm."]3688727[/ATTACH]
My weapon of choice for a flash rig. Diffuser is homemade from Styrofoam and hot glue; diffusing matrerial is kitchen paper towel held on with rubber bands. The "magic arm" allows placement of the flash wherever I desire. Godox wireless flash trigger is in hot shoe. This is a Fuji X-T4 with their 80mm macro lens, but I have also used this with the Laowa 65mm.

Photo made with flash rig shown above.