I see two possible approaches to solve your problem. 
When building your project the linker use LIBRARY_PATH (and not  LD_LIBRARY_PATH)
LIBRARY_PATH is used by gcc before compilation to search directories
  containing static and shared libraries that need to be linked to your
  program.
LD_LIBRARY_PATH is used by your program to search directories
  containing shared libraries after it has been successfully compiled
  and linked.
further details: LD_LIBRARY_PATH vs LIBRARY_PATH
Maybe you can try  
export LIBRARY_PATH=/opt/conda/:$LIBRARY_PATH
before running meson to build your project.
- Second solution
 
Modifying your meson file and use rpath (optional)
An alternative to the previous first solution is to directly modify your Meson file to pass some options to the linker.
Here is something I used in the past you can easily adapt to your problem:
#
# blaspp
#
blaspp_lib = 'blaspp'
blaspp_lib_dir = '/opt/slate/lib'
blaspp_header_dir = '/opt/slate/include'
blaspp_dep = declare_dependency(
    link_args : ['-L' + blaspp_lib_dir, '-l' + blaspp_lib],
    include_directories : include_directories(blaspp_header_dir))
executable('test_blaspp',
       'test_blaspp.cpp',
       build_rpath : blaspp_lib_dir,
       install_rpath : blaspp_lib_dir,
       dependencies : [blaspp_dep])
declare_dependency(...) defines options to pass to the linker (this replaces the need to define LIBRARY_PATH in the first solution)
 
executable(...) defines rpath. This is an optional step that embeds the extra library path information directly into the executable. If you use this, you will not have to modify the LD_LIBRARY_PATH when running your executable. 
 
Further details: https://amir.rachum.com/blog/2016/09/17/shared-libraries/ (have a look at the "rpath and runpath" section) and see wikipedia: https://en.wikipedia.org/wiki/Rpath