I run IE beta Version 18.104.22.168 (Official build) dev (64-bit) and do not encounter such problems, it is just a statement I make since IE has a Chromium kernel.
Sounds that it is Microsoft Edge. At least, if Internet Explorer is not completely rebranded (declined) to fresh Microsoft Edge (Chromium-oriented) with upcoming builds.
My current Windows 10 (1903) still with two different browsers: Internet Explorer 11 and Microsoft Edge (44*?).
In fact, with both browsers - F-Secure BP HTTPS support is not available on current time. With Microsoft Edge by default, with Internet Explorer by enabled EPM option.
I did not try "fresh" Microsoft Edge (beta) yet. Maybe, there are improvements - but I still think that for HTTPS Support need to install F-Secure BP extension (otherwise - noted functionality is not available). Perhaps, beta Microsoft Edge with support for Google Chrome extensions by default (and as a result - proper state for HTTPS Support functionality of F-Secure BP).
Sounds that URL is redacted (as a result "Page not found"). But, yes, it is known place for "Google Chrome" addon (fs protection Settings tab "Browsing Protection" with this information).
I, usually, used it for browsers like Opera.
It's not easy to test if it's working or not, since the algorithm that triggers it is quite complicated, so I can't give you any good advice on that. We accidentally broke it in beta 7 and didn't notice it immediately, but our automated tests flagged it.
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