AnnotatedString: wrong join() result with other string types

[aplavin]

In both 1.11rc and nightly:

julia> using InlineStrings

julia> a = Base.AnnotatedString("annotated", [(1:9, :label => 1)])

julia> b = InlineString("abc")

# correct:
julia> a * b
"annotatedabc"

# wrong:
julia> join([a,b])
"annotated\x03cba"

# correct:
julia> join([String(a), b])
"annotatedabc"

[KristofferC]

julia> using InlineStrings

julia> str = Base.AnnotatedString(InlineString("abc"))
"abc"

julia> sprint(print, str)
"\x03cba"

The problem is that AnnotatedStrings thinks that print and write are the same thing:

https://github.com/JuliaLang/StyledStrings.jl/blob/43fb018ed528d3b1b84c4bdb4ad682f20f0f7e7c/src/io.jl#L255-L256C6

[tecosaur]

This is fixed in JuliaLang/StyledStrings.jl#66, I'll let tests run then merge + bump + backport.

[tecosaur]

#55461 updates the version of StyledStrings to include the fix.