Try this:
<Assembly: AssemblyCopyright("Copyright $([System.DateTime]::Now.ToString('yyyy')), Company Name.")> 
I haven't tried this exactly.  Since i define some other parts of the assembly info via the .csproj using a WriteCodeFragment as described in this answer, I do it this way too - I define properties
  <!-- We started in 2021.  So, if it's still 2021 we just want to show '2021' -->
  <PropertyGroup Condition="$([System.DateTime]::Now.ToString('yyyy')) == '2021'">
    <CopyrightYears>2021</CopyrightYears>
  </PropertyGroup>
  <!-- But for later years we want a range.  E.g. in 2023 it will show '2021 - 2023' -->
  <PropertyGroup Condition="$([System.DateTime]::Now.ToString('yyyy')) != '2021'">
    <CopyrightYears>2021 - $([System.DateTime]::Now.ToString('yyyy'))</CopyrightYears>
  </PropertyGroup>
Then, within the task that updates the assembly info i have an ItemGroup including
<AssemblyAttributes Include="AssemblyCopyright">
  <_Parameter1>"Copyright © $(CopyrightYears) ..."</_Parameter1>
</AssemblyAttributes>
The after the ItemGroup I have the following within that task
    <MakeDir Directories="$(IntermediateOutputPath)" />
    <WriteCodeFragment Language="C#"
                         OutputFile="$(IntermediateOutputPath)Version.cs"
                         AssemblyAttributes="@(AssemblyAttributes)" />
    <ItemGroup>
        <Compile Include="$(IntermediateOutputPath)Version.cs" />
    </ItemGroup>
The functions you can use as properties are documented here