Hello, and I apologize for the late reply.
Please go to the Microsoft Store online (at https://apps.microsoft.com) and then search for the app you need. Then, once you have found, copy the URL at the top search bar and then go to https://store.rg-adguard.net.
Paste the URL into the textbox onscreen and then click the checkbox. This website will fetch files from the Microsoft Store servers and then pass them onto you. You will want to select the link with the package name and then .msixbundle at the end of the file name. In your case, the names of the files would be 26937gabboxl.61420B4860E86_2.1.0.0_neutral_~_28hndksafsg9t.msixbundle for Fluent Weather and 58272BurakKSE.WinoMailPreview_2.0.28.0_neutral_~_mhdqskaa8n2sj.msixbundle for Wino Mail. Click the name of the file and then the file will start downloading.
When you do click the link, you may get a pop up saying that the site doesn't support a secure connection. Click "Continue to site" and the files will start downloading. Once the files finish downloading, you may get a popup saying the file can harm your device. Press keep on both of them. Both of the files come from Microsoft's servers, and are safe to use.
Open the files and you should see a new window open asking if you would like to install the apps, click "Install" and see if you can open the apps afterward.
Let me know how this goes.
A disclaimer: This is a non-Microsoft website. The page appears to be providing accurate, safe information. Please watch out for ads on the site that may advertise products frequently classified as a PUP (Potentially Unwanted Products). Thoroughly research any product advertised on the site before you decide to download and install it.