The following configuration was used.
The simptom below:

The ping response is request time out.
<CE6851-2>ping -vpn vxlan-test 172.16.0.1
PING 172.16.0.1: 56 data bytes, press CTRL_C to break
Request time out
Request time out
Request time out
Request time out
Request time out
--- 172.16.0.1 ping statistics ---
5 packet(s) transmitted
0 packet(s) received
100.00% packet loss

We can see the destination present in the fib for vpn-instance vxlan-test, ping to next hop 1.1.1.1 is also working and the vxlan tunnel status is UP!
<CE6851-2>di ip fib slot 1 vpn-instance vxlan-test
Route Flags: G - Gateway Route, H - Host Route, U - Up Route
S - Static Route, D - Dynamic Route, B - Black Hole Route
--------------------------------------------------------------------------------
FIB Table: vxlan-test
Total number of Routes: 8
Destination/Mask Nexthop Flag Interface TunnelID
172.16.0.0/24 1.1.1.1 DGU VXLAN 0x0000000027f0000001
172.16.0.1/32 1.1.1.1 DGHU VXLAN 0x0000000027f0000001
172.16.100.0/24 172.16.100.1 U Vbdif100 -
172.16.100.1/32 127.0.0.1 HU Vbdif100 -
172.16.100.255/32 127.0.0.1 U Vbdif100 -
172.16.255.1/32 1.1.1.1 DGHU VXLAN 0x0000000027f0000001
172.16.255.2/32 127.0.0.1 HU LoopBack1000 -
255.255.255.255/32 127.0.0.1 U InLoopBack0 -
<CE6851-2>di tun all
Tunnel ID Type Destination Status
-----------------------------------------------------------------------------
0x0000000027f0000001 vxlan_nvo3 1.1.1.1 UP
<CE6851-2>ping 1.1.1.1
PING 1.1.1.1: 56 data bytes, press CTRL_C to break
Reply from 1.1.1.1: bytes=56 Sequence=1 ttl=254 time=1 ms
Reply from 1.1.1.1: bytes=56 Sequence=2 ttl=254 time=1 ms
Reply from 1.1.1.1: bytes=56 Sequence=3 ttl=254 time=1 ms
Reply from 1.1.1.1: bytes=56 Sequence=4 ttl=254 time=1 ms
Reply from 1.1.1.1: bytes=56 Sequence=5 ttl=254 time=1 ms
--- 1.1.1.1 ping statistics ---
5 packet(s) transmitted
5 packet(s) received
0.00% packet loss
round-trip min/avg/max = 1/1/1 ms
[~CE6851-1]display vxlan tunnel
Number of vxlan tunnel : 1
Tunnel ID Source Destination State Type
--------------------------------------------------------------
4026531842 1.1.1.1 3.3.3.3 up dynamic
[~CE6851-1]
[~CE6851-1]display bgp evpn all routing-table
Local AS number : 65100
BGP Local router ID is 10.10.10.27
Status codes: * - valid, > - best, d - damped, x - best external, a - add path,
h - history, i - internal, s - suppressed, S - Stale
Origin : i - IGP, e - EGP, ? - incomplete
EVPN address family:
Number of Mac Routes: 4
Route Distinguisher: 65300:100
Network(EthTagId/MacAddrLen/MacAddr/IpAddrLen/IpAddr) NextHop
*> 0:48:883f-d32c-9621:0:0.0.0.0 0.0.0.0
*> 0:48:883f-d32c-9621:32:172.16.0.1 0.0.0.0
*>i 0:48:883f-d32c-96a1:0:0.0.0.0 3.3.3.3
*>i 0:48:883f-d32c-96a1:32:172.16.100.1 3.3.3.3
EVN-Instance 100:
Number of Mac Routes: 4
Network(EthTagId/MacAddrLen/MacAddr/IpAddrLen/IpAddr) NextHop
*> 0:48:883f-d32c-9621:0:0.0.0.0 0.0.0.0
*> 0:48:883f-d32c-9621:32:172.16.0.1 0.0.0.0
*>i 0:48:883f-d32c-96a1:0:0.0.0.0 3.3.3.3
*>i 0:48:883f-d32c-96a1:32:172.16.100.1 3.3.3.3
EVPN address family:
Number of Inclusive Multicast Routes: 2
Route Distinguisher: 65300:100
Network(EthTagId/IpAddrLen/OriginalIp) NextHop
*> 0:32:1.1.1.1 0.0.0.0
*>i 0:32:3.3.3.3 3.3.3.3
EVN-Instance 100:
Number of Inclusive Multicast Routes: 2
Network(EthTagId/IpAddrLen/OriginalIp) NextHop
*> 0:32:1.1.1.1 0.0.0.0
*>i 0:32:3.3.3.3 3.3.3.3
EVPN address family:
Number of Ip Prefix Routes: 6
Route Distinguisher: 65100:1301
Network(EthTagId/IpPrefix/IpPrefixLen) NextHop
*> 0:172.16.0.0:24 0.0.0.0
*>i 0:172.16.100.0:24 3.3.3.3
*> 0:172.16.0.1:32 0.0.0.0
*>i 0:172.16.100.1:32 3.3.3.3
*> 0:172.16.255.1:32 0.0.0.0
*>i 0:172.16.255.2:32 3.3.3.3
EVN-Instance __vni1301__:
Number of Ip Prefix Routes: 6
Network(EthTagId/IpPrefix/IpPrefixLen) NextHop
*> 0:172.16.0.0:24 0.0.0.0
*>i 0:172.16.100.0:24 3.3.3.3
*> 0:172.16.0.1:32 0.0.0.0
*>i 0:172.16.100.1:32 3.3.3.3
*> 0:172.16.255.1:32 0.0.0.0
*>i 0:172.16.255.2:32 3.3.3.3
[~CE6851-1]

The loopback interface for Layer 3 VXLAN gateway was not created.

For this model we need to configure a service loopback interface for the Layer 3 VXLAN gateway that can be used only for Layer 3 VXLAN gateway and no other services run on it. Also ensure that the bandwidth of a service loopback-capable Eth-Trunk interface at least doubles that of traffic carried on the Layer 3 VXLAN gateway on which the Eth-Trunk interface resides. For example, if 10 Gbit/s user traffic must be sent to the gateway through a VXLAN, two 10GE physical interfaces must be added to the service loopback-capable Eth-Trunk interface.
<HUAWEI> system-view
[~HUAWEI] interface eth-trunk 2
[*HUAWEI-Eth-Trunk2] service type tunnel
[*HUAWEI-Eth-Trunk2] trunkport 10ge 1/0/1
[*HUAWEI-Eth-Trunk2]quit
[~HUAWEI] quit
<HUAWEI> quit